The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  1  1  1  1  1  3  3  3  1  3  3  3  3  9  9  0  9
 0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  9 18  0  9 18  0  9  9 18  0 18  0  9 18  0  9 18  9  0

generates a code of length 40 over Z27 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+80x^81

The gray image is a code over GF(3) with n=360, k=4 and d=243.
This code was found by Heurico 1.16 in 0.0139 seconds.